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Finding the Fourth Proportional to 327.72, 491.98 and 206.22

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Solution

The fourth proportional to 327.72, 491.98 and 206.22 is: 309.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.72 : 491.98 = 206.22 : x
  2. Step 2: Convert to fraction form
    327.72/491.98 = 206.22/x
  3. Step 3: Cross multiply
    327.72x = 491.98 × 206.22
  4. Step 4: Simplify right side
    327.72x = 101,456.12
  5. Step 5: Solve for x
    x = 101,456.12/327.72
  6. Step 6: Final answer
    x = 309.58

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